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Tuesday, February 21, 2012

vedic maths course details

Franchise Vedic Mathematics India


Arithmetic, Algebra, Geometry.all of it important, all of it crucial. How unmanageable sometimes the long and complicated Maths equations became. You work your way through the elongated equations to uncover the horror of your answer going wrong. Anyway, if you need a hand with mathematics, this  MATHTRIXS collection is designed to put you on the express way while arriving at answers.
It helps you reach the accurate answers without going through the lingering process hence, saving your valuable time, increasing precision and oozing confidence. Imagine how we do it. Mathtrixs is a compilation of tricks meant to arrive at the answers without working the whole sum out. It is an ancient art of solving mathematics problems which we have learnt, innovated, improved, practiced and presented it to you as Mathtrixs. Additionally, for your convenience Mathtrixs comes in two handy packages i.e. Introductory & Exposit.

Whether you are a school/college student, a contender of competitive examination or a MBA aspirant, this Mathtrixs collection is more than just sufficient for you to move on the express way of success. Speedily.

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Methods of vedic maths

Methods described in the sūtras

It is not difficult to understand and apply the Vedic mathematical strategies, as long as one does not rely on the sūtras alone for mathematical insight. Those studying Vedic mathematics tend to strongly rely on the examples and explanations Tirthaji provides in his book.

All from nine and the last from ten

When subtracting from a large power of ten with many columns of zeros, it is not necessary to write the notation for "borrowing" from the column on the left. One can instead subtract the last (rightmost) digit from 10 and each other digit from 9. For example, when one is subtracting ten thousand minus 4,679, the leftmost three digits of 4,679—4, 6 and 7--are subtracted from 9, and the rightmost nonzero digit—that is, 9--is subtracted from 10, yielding the solution: 5,321. This method is also used when finding the deficit from the next larger power of ten when setting up a multiplication problem using the "cross-subtraction" method.

First corollary, when squaring numbers

"Whatever the extent of its deficiency, lessen it still further to that very extent; and also set up the square (of that deficiency)"
For instance, in computing the square of 9 we go through the following steps:
  1. The nearest power of 10 to 9 is 10. Therefore, let us take 10 as our base.
  2. Since 9 is 1 less than 10, decrease it by the deficiency (9 - 1 = 8). This is the leftmost digit of our answer.
  3. On the right hand side put the square of the deficiency, which is 1². Hence, the square of nine is 81.
Similarly, 8² = 64, 7² = 49, 6²=36.
For numbers above 10, instead of looking at the deficit we look at the surplus. For example:
11^2 = (11+1)\cdot 10+1^2 = 121.\,
12^2 = (12+2)\cdot 10+2^2 = 144.\,
14^2 = (14+4)\cdot 10+4^2 = 18\cdot10+16 = 196.\,
25^2 = [(25+5)\cdot 2]\cdot 10+5^2 = 625.\,
35^2 = [(35+5)\cdot 3]\cdot 10+5^2 = 40\cdot3\cdot10+25 = 1225.\,
and so on.
This method of squaring is based on the fact that a2 = (a + b)(ab) + b2 where a is the number whose square is to be found and b is the deficit (or surplus) from nearest product of 10.



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Meaning and history of Vedic Maths

Vedic mathematics is a system of mathematics consisting of a list of 16 basic sūtras, or aphorisms. They were presented by a Hindu scholar and mathematician.

The calculation strategies provided by Vedic mathematics are said to be creative and useful, and can be applied in a number of ways to calculation methods in arithmetic and algebra, most notably within the education system.

The sūtras (formulae or aphorisms)

Vedic mathematics is based on sixteen sūtras which serve as somewhat cryptic instructions for dealing with different mathematical problems. Below is a list of the sūtras, translated from Sanskrit into English:
  • "By one more than the previous one"
  • "All from 9 and the last from 10"
  • "Vertically and crosswise (multiplications)"
  • "Transpose and apply"
  • "Transpose and adjust (the coefficient)"
  • "If the Samuccaya is the same (on both sides of the equation, then) that Samuccaya is (equal to) zero"
  • By the Parāvartya rule
  • "If one is in ratio, the other one is zero."
  • "By addition and by subtraction."
  • By the completion or non-completion (of the square, the cube, the fourth power, etc.)
  • Differential calculus
  • By the deficiency
  • Specific and general
  • The remainders by the last digit
  • "The ultimate (binomial) and twice the penultimate (binomial) (equals zero),"
  • "Only the last terms,"
  • By one less than the one before
  • The product of the sum
  • All the multipliers


Background information on the Vedas

a literal translation of the Sanskrit word, is “knowledge” (Veda).


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